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Finding the Fourth Proportional to 6,711.40, 10,054.95 and 4,111.30

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Solution

The fourth proportional to 6,711.40, 10,054.95 and 4,111.30 is: 6,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.40 : 10,054.95 = 4,111.30 : x
  2. Step 2: Convert to fraction form
    6,711.40/10,054.95 = 4,111.30/x
  3. Step 3: Cross multiply
    6,711.40x = 10,054.95 × 4,111.30
  4. Step 4: Simplify right side
    6,711.40x = 41,338,915.94
  5. Step 5: Solve for x
    x = 41,338,915.94/6,711.40
  6. Step 6: Final answer
    x = 6,159.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.